Answers Common Core Algebra I - MA3109 CRUnit Test

Unit Test — Unit test Answers

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The graph represents a functional relationship.

–14

–2

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Which statements about the local maximums and minimums for the given function are true? Choose three options.

Over the interval [1, 3], the local minimum is 0

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0.

Over the interval [3, 5], the local maximum is 0.

The graph below represents the distance a pilot is from the home airport during a period of time.

zero

constant

decreasing

increasing

Fiona is serving iced tea and lemonade at a picnic. She has only 44 glasses in which to serve the drinks. If x represents the number of glasses of iced tea and y represents the number of glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?

x minus y equals 44

44 plus y equals x

y minus x equals 44

x equals 44 minus y

For one month Siera calculated her home town’s average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function . What does C(F) represent?

C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit

C(F) represents the output of the function F in degrees Fahrenheit when the input C is in degrees Celsius

C(F) represents the output of the function C in degrees Fahrenheit when the input F is in degrees Celsius

C(F) represents the output of the function F in degrees Celsius when the input C is in degrees Fahrenheit

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?9.6, –4.8, 2.4, –1.2, 0.6, ...

f(n + 1) = (–0.5)f(n)

f(n + 1) = (0.5)f(n)

f(n + 1) = f(0.5n)

f(n + 1) = f(–0.5n)

Which graph shows a set of ordered pairs that represent a function?

Option

The function f(x) is shown on the graph.

12 only

2 and 3 only

–2, –1, 1, and 2 only

–2, –1, 1, 2 and 12

Mr. Jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, ....Taquan suggests that the sequence is geometric and the next two numbers are –22 and 44. Julia suggests that the sequence is arithmetic and the next two numbers are 27.5 and 44.Which best explains which student is correct?

Taquan is correct. When the signs change in a sequence, the sequence is geometric. Each successive term is generated by multiplying by –2.

Julia is correct. When the numbers alternate between decimals and whole numbers, the sequence is arithmetic. Each successive term is generated by adding 16.5.

Both students could be correct about the types of possible sequences. However, one student made a computational error because it is not possible to arrive at a fourth term of 44 in two different ways.

Both students could be correct. Because two numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.

The acceleration of an object due to gravity is 32 feet per second squared. What is acceleration due to gravity in inches per second squared?

inches per second squared

384 inches per second squared

1,024 inches per second squared

The table represents the function f(x).

–29

–10

–3

–1

Which graph shows the equation c = 10+ 3t, where c is the total cost of going to the carnival and t is the number of $3 tickets purchased?

On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends at point (6, 27).

On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 10), (1, 14), (2, 16), (3, 19), (4, 22), (5, 25), (6, 28).

On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 3), (1, 13), (2, 24), (3, 34), (4, 43), (5, 54).

A 2-column table with 4 rows. The first column is labeled x with entries negative 6, negative 1, 0, 3. The second column is labeled y with entries negative 7, 1, 9, negative 2.

{x | x = –6, –1, 0, 3}

{y | y = –7, –2, 1, 9}

{x | x = –7, –6, –2, –1, 0, 1, 3, 9}

{y | y = –7, –6, –2, –1, 0, 1, 3, 9}

A 2-column table with 7 rows. The first column is labeled x with entries negative 6, negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 8, 2, 0, negative 2, negative 1, 0, 4.

(–2, 0)

(0, –2)

(2, –1)

(4, 0)

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.

(0, 8)

(–4, 0)

(–4, 0), (4, 0)

(–4, 0), (0, 8), (4, 0)

On a coordinate plane, a curved line with a maximum value of (negative 1, 2) crosses the x-axis at (negative 3, 0) and (1, 0), and crosses the y-axis at (0, 1.5).

(–3, 0) and (0, 1.5)

(–3, 0) and (1,0)

(–1, 2) and (1, 0)

(0, 1.5) and (1, 0)

Diep buys a loaf of bread 65 centimeters long. For lunch every afternoon, he cuts 15 centimeters of bread for his sandwich. Diep wants to determine the length of the loaf of bread, l, after d days. What is the equation of the scenario? Is the graph of the equation continuous or discrete?

l = 65 – 15d; discrete

l = 65 – 15d; continuous

65 = l – 15d; discrete

65 = l – 15d; continuous

At a grocery store, blueberries come packaged in 8-ounce containers for $2.80. At a farmer's market, blueberries cost $4.20 for 14 ounces. There are 16 ounces in one pound. Which statement accurately compares the cost of blueberries?

Blueberries are $0.23 per pound more expensive at the farmer’s market.

Blueberries are $0.50 per pound less expensive at the farmer’s market.

Blueberries are $0.80 per pound less expensive at the farmer’s market.

Blueberries are $1.40 per pound more expensive at the farmer’s market.

The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation , where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?

130

150

The yearbook club has 5 members returning from last year. They set up a booth in the cafeteria to recruit more members, and an average of 3 new members sign up each day. Which best describes why the graph relating the total number of members on the yearbook club, m, and the number of days the booth is set up, d, will be continuous or discrete?

The graph will be continuous because an end day for the booth being set up is not given in the description.

The graph will be continuous because there can be any number of people signing up each day since we are only given the average.

The graph will be discrete because some day the number of available people to sign up for the club will run out.

The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.

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